%% dx = (0.03125,0.03125)
solution = [
1 1.03174 1.06449 1.09829 1.13315 1.16912 1.20623 1.24452 1.28403 1.32478 1.36684 1.41023 1.45499 1.50118 1.54883 1.598 1.64872 1.70106 1.75505 1.81077 1.86825 1.92755 1.98874 2.05187 2.117 2.1842 2.25353 2.32507 2.39888 2.47502 2.55359 2.63465 2.71828 
1.03175 1.06449 1.09828 1.13314 1.16911 1.20622 1.24451 1.28402 1.32477 1.36683 1.41021 1.45498 1.50116 1.54881 1.59798 1.6487 1.70104 1.75503 1.81074 1.86822 1.92753 1.98871 2.05184 2.11697 2.18417 2.2535 2.32504 2.39884 2.47498 2.55355 2.6346 2.71823 2.80451 
1.06446 1.09825 1.13311 1.16907 1.20618 1.24447 1.28397 1.32472 1.36677 1.41016 1.45492 1.5011 1.54875 1.59791 1.64864 1.70097 1.75496 1.81067 1.86815 1.92745 1.98863 2.05175 2.11688 2.18408 2.2534 2.32493 2.39873 2.47487 2.55343 2.63448 2.71811 2.80438 2.89339 
1.09815 1.133 1.16896 1.20607 1.24435 1.28384 1.3246 1.36664 1.41002 1.45478 1.50096 1.5486 1.59776 1.64847 1.7008 1.75479 1.81049 1.86796 1.92725 1.98843 2.05154 2.11666 2.18385 2.25317 2.32469 2.39849 2.47462 2.55317 2.63421 2.71782 2.80409 2.89309 2.98492 
1.1328 1.16875 1.20584 1.24412 1.2836 1.32435 1.36638 1.40975 1.4545 1.50067 1.54831 1.59745 1.64816 1.70047 1.75445 1.81014 1.8676 1.92688 1.98804 2.05115 2.11626 2.18343 2.25274 2.32425 2.39802 2.47414 2.55267 2.6337 2.7173 2.80355 2.89253 2.98434 3.07907 
1.16839 1.20548 1.24374 1.28321 1.32394 1.36596 1.40932 1.45405 1.50021 1.54782 1.59695 1.64765 1.69994 1.7539 1.80958 1.86702 1.92628 1.98742 2.05051 2.11559 2.18275 2.25203 2.32352 2.39727 2.47336 2.55187 2.63287 2.71644 2.80267 2.89163 2.98341 3.0781 3.1758 
1.20493 1.24317 1.28262 1.32333 1.36534 1.40867 1.45338 1.49951 1.54711 1.59622 1.64688 1.69916 1.75309 1.80874 1.86615 1.92539 1.9865 2.04956 2.11461 2.18173 2.25099 2.32244 2.39616 2.47221 2.55069 2.63165 2.71518 2.80136 2.89028 2.98202 3.07667 3.17433 3.27508 
1.24237 1.2818 1.32249 1.36446 1.40777 1.45245 1.49855 1.54612 1.59519 1.64582 1.69807 1.75196 1.80757 1.86495 1.92415 1.98522 2.04823 2.11325 2.18033 2.24953 2.32094 2.39461 2.47062 2.54904 2.62995 2.71343 2.79955 2.88842 2.9801 3.07469 3.17228 3.27297 3.37685 
1.28071 1.32136 1.3633 1.40657 1.45121 1.49727 1.5448 1.59383 1.64442 1.69661 1.75047 1.80603 1.86335 1.9225 1.98352 2.04648 2.11144 2.17846 2.24761 2.31895 2.39256 2.4685 2.54686 2.6277 2.7111 2.79716 2.88594 2.97754 3.07205 3.16956 3.27017 3.37396 3.48105 
1.31992 1.36181 1.40503 1.44963 1.49564 1.54311 1.59209 1.64262 1.69476 1.74855 1.80405 1.86131 1.92039 1.98135 2.04424 2.10913 2.17607 2.24514 2.31641 2.38993 2.46579 2.54406 2.62481 2.70813 2.79409 2.88277 2.97428 3.06868 3.16609 3.26658 3.37026 3.47724 3.58761 
1.35996 1.40312 1.44765 1.4936 1.541 1.58991 1.64038 1.69244 1.74616 1.80159 1.85877 1.91777 1.97864 2.04145 2.10624 2.1731 2.24208 2.31324 2.38667 2.46242 2.54058 2.62122 2.70443 2.79027 2.87883 2.97021 3.06449 3.16176 3.26211 3.36566 3.47248 3.5827 3.69642 
1.40079 1.44525 1.49112 1.53844 1.58727 1.63765 1.68963 1.74326 1.79859 1.85568 1.91458 1.97535 2.03805 2.10274 2.16948 2.23834 2.30939 2.38269 2.45832 2.53635 2.61686 2.69992 2.78562 2.87404 2.96526 3.05938 3.15649 3.25668 3.36005 3.4667 3.57674 3.69026 3.80739 
1.44237 1.48815 1.53538 1.58411 1.63439 1.68626 1.73978 1.795 1.85198 1.91076 1.97141 2.03398 2.09854 2.16515 2.23388 2.30478 2.37794 2.45342 2.53129 2.61164 2.69454 2.78006 2.86831 2.95935 3.05328 3.1502 3.25019 3.35335 3.45979 3.5696 3.68291 3.7998 3.92041 
1.48466 1.53177 1.58039 1.63055 1.6823 1.7357 1.79079 1.84763 1.90627 1.96678 2.0292 2.09361 2.16007 2.22863 2.29937 2.37235 2.44765 2.52534 2.6055 2.6882 2.77353 2.86156 2.95239 3.04611 3.14279 3.24255 3.34547 3.45166 3.56121 3.67425 3.79087 3.9112 4.03534 
1.52759 1.57607 1.6261 1.67771 1.73095 1.78589 1.84258 1.90106 1.9614 2.02366 2.08789 2.15416 2.22253 2.29308 2.36586 2.44096 2.51844 2.59838 2.68085 2.76594 2.85374 2.94432 3.03778 3.1342 3.23368 3.33632 3.44222 3.55148 3.6642 3.78051 3.9005 4.02431 4.15204 
1.57112 1.62098 1.67243 1.72551 1.78028 1.83678 1.89508 1.95523 2.01729 2.08132 2.14738 2.21554 2.28586 2.35842 2.43328 2.51051 2.5902 2.67241 2.75724 2.84476 2.93505 3.02822 3.12433 3.2235 3.32582 3.43139 3.5403 3.65267 3.76861 3.88823 4.01165 4.13898 4.27035 
1.61517 1.66644 1.71933 1.77389 1.8302 1.88829 1.94822 2.01006 2.07386 2.13968 2.20759 2.27767 2.34996 2.42455 2.50151 2.58091 2.66283 2.74735 2.83456 2.92453 3.01736 3.11313 3.21194 3.3139 3.41908 3.52761 3.63958 3.7551 3.87429 3.99726 4.12414 4.25504 4.3901 
1.65969 1.71236 1.76671 1.82278 1.88064 1.94033 2.00191 2.06545 2.13101 2.19865 2.26844 2.34044 2.41473 2.49137 2.57045 2.65204 2.73622 2.82307 2.91268 3.00513 3.10052 3.19893 3.30047 3.40523 3.51331 3.62483 3.73988 3.85859 3.98107 4.10743 4.2378 4.37231 4.51109 
1.70458 1.75868 1.8145 1.87209 1.93151 1.99282 2.05607 2.12133 2.18866 2.25813 2.3298 2.40375 2.48005 2.55877 2.63999 2.72378 2.81024 2.89944 2.99147 3.08642 3.18439 3.28547 3.38975 3.49735 3.60836 3.72289 3.84106 3.96298 4.08876 4.21854 4.35244 4.49059 4.63312 
1.74978 1.80532 1.86262 1.92173 1.98273 2.04566 2.11059 2.17758 2.24669 2.31801 2.39158 2.46749 2.54581 2.62662 2.70999 2.79601 2.88476 2.97633 3.0708 3.16827 3.26884 3.37259 3.47964 3.59009 3.70404 3.82161 3.94292 4.06807 4.19719 4.33041 4.46786 4.60967 4.75599 
1.7952 1.85218 1.91096 1.97161 2.03419 2.09876 2.16537 2.2341 2.30501 2.37817 2.45366 2.53154 2.61189 2.6948 2.78034 2.86859 2.95964 3.05358 3.15051 3.25051 3.35369 3.46014 3.56997 3.68328 3.80019 3.92082 4.04527 4.17367 4.30614 4.44282 4.58384 4.72933 4.87944 
1.84075 1.89917 1.95944 2.02163 2.0858 2.152 2.22031 2.29078 2.36349 2.43851 2.51591 2.59577 2.67816 2.76317 2.85088 2.94137 3.03473 3.13106 3.23044 3.33298 3.43878 3.54793 3.66054 3.77674 3.89661 4.0203 4.1479 4.27956 4.4154 4.55555 4.70014 4.84933 5.00324 
1.88632 1.94619 2.00796 2.07169 2.13744 2.20528 2.27528 2.3475 2.42201 2.49889 2.5782 2.66004 2.74447 2.83159 2.92147 3.0142 3.10987 3.20859 3.31043 3.41551 3.52393 3.63578 3.75119 3.87025 3.9931 4.11985 4.25061 4.38553 4.52473 4.66835 4.81653 4.9694 5.12713 
1.93183 1.99314 2.0564 2.12167 2.18901 2.25849 2.33017 2.40413 2.48044 2.55917 2.6404 2.72421 2.81069 2.8999 2.99195 3.08692 3.1849 3.286 3.3903 3.49792 3.60895 3.7235 3.84169 3.96363 4.08944 4.21925 4.35317 4.49134 4.6339 4.78099 4.93274 5.0893 5.25084 
1.97716 2.03991 2.10465 2.17145 2.24037 2.31148 2.38485 2.46055 2.53865 2.61923 2.70237 2.78814 2.87665 2.96796 3.06216 3.15936 3.25965 3.36311 3.46987 3.58001 3.69364 3.81089 3.93185 4.05665 4.18542 4.31827 4.45534 4.59675 4.74266 4.89319 5.04851 5.20875 5.37407 
2.02221 2.08639 2.15261 2.22093 2.29142 2.36415 2.43919 2.51661 2.59649 2.67891 2.76394 2.85168 2.94219 3.03558 3.13194 3.23136 3.33393 3.43975 3.54894 3.66159 3.77781 3.89773 4.02145 4.1491 4.2808 4.41668 4.55687 4.70151 4.85074 5.0047 5.16356 5.32745 5.49654 
2.06686 2.13246 2.20014 2.26997 2.34202 2.41636 2.49305 2.57219 2.65383 2.73807 2.82498 2.91465 3.00717 3.10262 3.20111 3.30272 3.40755 3.51572 3.62731 3.74245 3.86124 3.98381 4.11026 4.24073 4.37534 4.51422 4.65751 4.80534 4.95787 5.11524 5.2776 5.44511 5.61794 
2.111 2.178 2.24713 2.31845 2.39204 2.46796 2.5463 2.62712 2.71051 2.79655 2.88532 2.9769 3.0714 3.16889 3.26948 3.37326 3.48034 3.59081 3.70479 3.82239 3.94372 4.06891 4.19806 4.33132 4.4688 4.61065 4.757 4.908 5.06378 5.22451 5.39034 5.56143 5.73795 
2.15451 2.22289 2.29344 2.36624 2.44134 2.51883 2.59878 2.68128 2.76638 2.8542 2.94479 3.03827 3.13471 3.23422 3.33688 3.4428 3.55208 3.66484 3.78117 3.90119 4.02502 4.15279 4.28461 4.42061 4.56093 4.70571 4.85508 5.00918 5.16818 5.33223 5.50148 5.6761 5.85625 
2.19727 2.267 2.33896 2.4132 2.4898 2.56883 2.65036 2.73449 2.82129 2.91085 3.00325 3.09858 3.19693 3.29841 3.40311 3.51114 3.62259 3.73758 3.85622 3.97863 4.10493 4.23523 4.36966 4.50837 4.65148 4.79913 4.95146 5.10863 5.27079 5.43809 5.6107 5.78879 5.97252 
2.23915 2.31021 2.38354 2.4592 2.53726 2.6178 2.70089 2.78662 2.87508 2.96634 3.0605 3.15765 3.25788 3.3613 3.468 3.57808 3.69166 3.80885 3.92975 4.05449 4.18319 4.31598 4.45298 4.59433 4.74017 4.89064 5.04588 5.20605 5.3713 5.5418 5.7177 5.89919 6.08642 
2.28003 2.35239 2.42706 2.5041 2.58359 2.6656 2.75021 2.83751 2.92759 3.02052 3.1164 3.21532 3.31739 3.42269 3.53134 3.64343 3.75909 3.87841 4.00153 4.12855 4.2596 4.39481 4.53432 4.67825 4.82676 4.97997 5.13805 5.30115 5.46942 5.64304 5.82216 6.00696 6.19763 
2.31978 2.39341 2.46939 2.54778 2.62865 2.71209 2.79818 2.88701 2.97865 3.0732 3.17076 3.27141 3.37526 3.4824 3.59294 3.70699 3.82467 3.94607 4.07134 4.20057 4.33391 4.47149 4.61343 4.75987 4.91097 5.06686 5.2277 5.39364 5.56486 5.7415 5.92376 6.1118 6.30581 
];
exact = [
1 1.03174 1.06449 1.09829 1.13315 1.16912 1.20623 1.24452 1.28403 1.32478 1.36684 1.41023 1.45499 1.50118 1.54883 1.598 1.64872 1.70106 1.75505 1.81077 1.86825 1.92755 1.98874 2.05187 2.117 2.1842 2.25353 2.32507 2.39888 2.47502 2.55359 2.63465 2.71828 
1.03174 1.06449 1.09828 1.13314 1.16911 1.20622 1.24451 1.28402 1.32478 1.36683 1.41022 1.45498 1.50117 1.54882 1.59799 1.64871 1.70105 1.75505 1.81076 1.86824 1.92754 1.98873 2.05186 2.11699 2.18419 2.25352 2.32506 2.39886 2.47501 2.55358 2.63464 2.71827 2.80456 
1.06445 1.09824 1.1331 1.16907 1.20618 1.24447 1.28397 1.32473 1.36678 1.41017 1.45493 1.50112 1.54877 1.59793 1.64865 1.70099 1.75498 1.81069 1.86817 1.92747 1.98866 2.05178 2.11691 2.18411 2.25344 2.32498 2.39878 2.47492 2.55349 2.63454 2.71817 2.80446 2.89348 
1.09813 1.13299 1.16896 1.20606 1.24435 1.28385 1.3246 1.36665 1.41003 1.45479 1.50097 1.54862 1.59778 1.64849 1.70082 1.75481 1.81052 1.86799 1.92729 1.98846 2.05159 2.11671 2.1839 2.25323 2.32475 2.39855 2.47468 2.55324 2.63429 2.71791 2.80418 2.8932 2.98504 
1.13278 1.16874 1.20584 1.24412 1.28361 1.32435 1.36639 1.40977 1.45452 1.50069 1.54833 1.59748 1.64819 1.7005 1.75448 1.81018 1.86764 1.92692 1.98809 2.0512 2.11631 2.18349 2.2528 2.32431 2.3981 2.47422 2.55276 2.63379 2.7174 2.80366 2.89265 2.98448 3.07922 
1.16838 1.20546 1.24373 1.28321 1.32394 1.36597 1.40933 1.45407 1.50022 1.54785 1.59698 1.64767 1.69998 1.75394 1.80962 1.86706 1.92633 1.98748 2.05056 2.11566 2.18281 2.2521 2.32359 2.39735 2.47345 2.55197 2.63298 2.71656 2.80279 2.89176 2.98355 3.07826 3.17598 
1.20491 1.24316 1.28262 1.32333 1.36534 1.40868 1.4534 1.49953 1.54713 1.59624 1.64691 1.69919 1.75313 1.80878 1.8662 1.92544 1.98656 2.04962 2.11468 2.18181 2.25106 2.32252 2.39625 2.47231 2.55079 2.63176 2.7153 2.8015 2.89042 2.98218 3.07684 3.17451 3.27528 
1.24236 1.28179 1.32248 1.36446 1.40777 1.45246 1.49857 1.54614 1.59522 1.64585 1.6981 1.752 1.80762 1.865 1.9242 1.98528 2.0483 2.11332 2.1804 2.24962 2.32103 2.3947 2.47072 2.54915 2.63007 2.71355 2.79969 2.88856 2.98026 3.07486 3.17247 3.27317 3.37707 
1.2807 1.32135 1.36329 1.40657 1.45122 1.49729 1.54481 1.59385 1.64445 1.69665 1.7505 1.80607 1.8634 1.92255 1.98358 2.04655 2.11151 2.17854 2.24769 2.31904 2.39266 2.46861 2.54697 2.62782 2.71123 2.7973 2.88609 2.97771 3.07223 3.16975 3.27037 3.37419 3.48129 
1.3199 1.3618 1.40503 1.44963 1.49564 1.54312 1.5921 1.64264 1.69479 1.74858 1.80409 1.86136 1.92044 1.98141 2.0443 2.1092 2.17615 2.24523 2.3165 2.39003 2.4659 2.54418 2.62494 2.70826 2.79423 2.88293 2.97444 3.06886 3.16628 3.26679 3.37049 3.47748 3.58786 
1.35994 1.40311 1.44765 1.4936 1.54101 1.58993 1.6404 1.69247 1.74619 1.80162 1.85881 1.91782 1.9787 2.04151 2.10631 2.17317 2.24216 2.31333 2.38676 2.46253 2.5407 2.62135 2.70456 2.79041 2.87899 2.97038 3.06467 3.16195 3.26232 3.36588 3.47272 3.58296 3.69669 
1.40077 1.44523 1.49111 1.53844 1.58728 1.63766 1.68965 1.74328 1.79862 1.85572 1.91462 1.9754 2.0381 2.1028 2.16955 2.23842 2.30947 2.38279 2.45842 2.53646 2.61698 2.70005 2.78576 2.87419 2.96542 3.05956 3.15668 3.25688 3.36027 3.46693 3.57698 3.69053 3.80768 
1.44235 1.48813 1.53537 1.58411 1.63439 1.68628 1.7398 1.79503 1.85201 1.9108 1.97146 2.03404 2.0986 2.16522 2.23395 2.30487 2.37803 2.45352 2.5314 2.61176 2.69466 2.7802 2.86845 2.95951 3.05345 3.15038 3.25038 3.35356 3.46001 3.56985 3.68317 3.80008 3.92071 
1.48463 1.53176 1.58038 1.63055 1.68231 1.73571 1.79081 1.84766 1.90631 1.96682 2.02925 2.09367 2.16013 2.2287 2.29944 2.37244 2.44775 2.52545 2.60561 2.68832 2.77366 2.8617 2.95254 3.04627 3.14297 3.24274 3.34567 3.45187 3.56145 3.6745 3.79114 3.91149 4.03565 
1.52757 1.57606 1.62609 1.6777 1.73096 1.78591 1.8426 1.90109 1.96143 2.0237 2.08794 2.15421 2.2226 2.29315 2.36594 2.44105 2.51853 2.59848 2.68096 2.76607 2.85387 2.94446 3.03793 3.13436 3.23386 3.33651 3.44243 3.5517 3.66444 3.78076 3.90078 4.0246 4.15236 
1.57109 1.62096 1.67242 1.72551 1.78028 1.83679 1.8951 1.95526 2.01732 2.08136 2.14743 2.2156 2.28593 2.35849 2.43336 2.5106 2.59029 2.67252 2.75735 2.84488 2.93519 3.02836 3.12449 3.22367 3.326 3.43158 3.54051 3.6529 3.76886 3.88849 4.01193 4.13928 4.27067 
1.61515 1.66642 1.71931 1.77389 1.8302 1.8883 1.94824 2.01008 2.07389 2.13972 2.20764 2.27772 2.35002 2.42462 2.50159 2.581 2.66293 2.74746 2.83467 2.92465 3.01749 3.11328 3.2121 3.31407 3.41926 3.5278 3.63979 3.75533 3.87453 3.99753 4.12442 4.25534 4.39042 
1.65966 1.71234 1.7667 1.82278 1.88064 1.94034 2.00193 2.06548 2.13104 2.19869 2.26848 2.34049 2.41479 2.49144 2.57053 2.65213 2.73631 2.82317 2.91279 3.00525 3.10065 3.19907 3.30062 3.4054 3.5135 3.62503 3.7401 3.85882 3.98131 4.10769 4.23808 4.37262 4.51142 
1.70455 1.75866 1.81449 1.87208 1.93151 1.99282 2.05608 2.12135 2.18869 2.25817 2.32985 2.4038 2.48011 2.55884 2.64006 2.72387 2.81033 2.89954 2.99158 3.08655 3.18452 3.28561 3.38991 3.49751 3.60854 3.72309 3.84127 3.9632 4.08901 4.21881 4.35273 4.4909 4.63345 
1.74975 1.80529 1.8626 1.92172 1.98273 2.04567 2.1106 2.1776 2.24672 2.31804 2.39163 2.46754 2.54587 2.62669 2.71007 2.79609 2.88485 2.97643 3.07091 3.16839 3.26896 3.37273 3.47979 3.59025 3.70422 3.82181 3.94312 4.06829 4.19743 4.33067 4.46814 4.60998 4.75631 
1.79517 1.85215 1.91094 1.9716 2.03419 2.09876 2.16538 2.23412 2.30504 2.37821 2.4537 2.53159 2.61195 2.69486 2.78041 2.86867 2.95973 3.05368 3.15061 3.25062 3.35381 3.46027 3.57011 3.68344 3.80037 3.921 4.04547 4.17389 4.30638 4.44308 4.58412 4.72963 4.87977 
1.84071 1.89914 1.95942 2.02162 2.08579 2.15201 2.22032 2.2908 2.36352 2.43854 2.51595 2.59581 2.67821 2.76323 2.85094 2.94144 3.03481 3.13115 3.23054 3.33309 3.43889 3.54806 3.66068 3.77689 3.89678 4.02048 4.1481 4.27977 4.41563 4.5558 4.70041 4.84962 5.00356 
1.88628 1.94616 2.00794 2.07167 2.13744 2.20529 2.27529 2.34751 2.42203 2.49892 2.57824 2.66008 2.74452 2.83164 2.92153 3.01427 3.10995 3.20867 3.31053 3.41561 3.52404 3.6359 3.75132 3.8704 3.99326 4.12002 4.2508 4.38573 4.52495 4.66859 4.81679 4.96969 5.12744 
1.93178 1.99311 2.05637 2.12165 2.189 2.25849 2.33018 2.40415 2.48046 2.5592 2.64044 2.72425 2.81073 2.89995 2.99201 3.08698 3.18497 3.28608 3.39039 3.49801 3.60905 3.72361 3.84181 3.96377 4.08959 4.21941 4.35334 4.49153 4.63411 4.78121 4.93299 5.08958 5.25114 
1.97712 2.03988 2.10463 2.17144 2.24036 2.31148 2.38486 2.46056 2.53867 2.61925 2.7024 2.78818 2.87669 2.968 3.06222 3.15942 3.25971 3.36319 3.46995 3.58009 3.69374 3.81099 3.93196 4.05678 4.18555 4.31842 4.4555 4.59693 4.74285 4.89341 5.04874 5.209 5.37436 
2.02216 2.08635 2.15258 2.22091 2.29141 2.36415 2.43919 2.51662 2.59651 2.67893 2.76397 2.85171 2.94223 3.03563 3.13199 3.23141 3.33398 3.43981 3.54901 3.66166 3.7779 3.89782 4.02155 4.14921 4.28092 4.41681 4.55701 4.70167 4.85092 5.0049 5.16377 5.32769 5.49681 
2.06681 2.13242 2.20011 2.26995 2.34201 2.41635 2.49305 2.57219 2.65384 2.73808 2.825 2.91468 3.0072 3.10266 3.20115 3.30276 3.4076 3.51577 3.62737 3.74252 3.86132 3.98389 4.11035 4.24083 4.37545 4.51434 4.65764 4.80549 4.95803 5.11542 5.2778 5.44533 5.61818 
2.11096 2.17796 2.2471 2.31843 2.39203 2.46796 2.5463 2.62713 2.71052 2.79656 2.88533 2.97692 3.07142 3.16892 3.26951 3.3733 3.48038 3.59086 3.70484 3.82245 3.94378 4.06897 4.19814 4.3314 4.46889 4.61075 4.75711 4.90812 5.06392 5.22467 5.39051 5.56163 5.73817 
2.15447 2.22286 2.29342 2.36622 2.44133 2.51883 2.59878 2.68128 2.76639 2.85421 2.94481 3.03829 3.13473 3.23424 3.3369 3.44283 3.55212 3.66487 3.78121 3.90124 4.02507 4.15284 4.28467 4.42068 4.56101 4.70579 4.85517 5.00929 5.1683 5.33236 5.50162 5.67627 5.85645 
2.19723 2.26698 2.33894 2.41318 2.48979 2.56882 2.65036 2.73449 2.8213 2.91085 3.00325 3.09859 3.19695 3.29843 3.40313 3.51116 3.62262 3.73761 3.85626 3.97867 4.10496 4.23527 4.36971 4.50842 4.65153 4.79919 4.95153 5.10871 5.27088 5.43819 5.61082 5.78893 5.97269 
2.23912 2.31019 2.38353 2.45919 2.53725 2.61779 2.70089 2.78662 2.87508 2.96635 3.06051 3.15766 3.25789 3.36131 3.46801 3.5781 3.69168 3.80886 3.92977 4.05452 4.18322 4.31601 4.45301 4.59437 4.74021 4.89068 5.04593 5.2061 5.37136 5.54187 5.71778 5.89928 6.08655 
2.28001 2.35238 2.42705 2.5041 2.58359 2.6656 2.75021 2.83751 2.92759 3.02052 3.1164 3.21533 3.31739 3.4227 3.53134 3.64344 3.7591 3.87842 4.00154 4.12856 4.25961 4.39483 4.53434 4.67827 4.82677 4.97999 5.13807 5.30117 5.46945 5.64307 5.8222 6.00702 6.1977 
2.31978 2.39341 2.46939 2.54778 2.62865 2.71209 2.79818 2.88701 2.97865 3.0732 3.17076 3.27141 3.37526 3.4824 3.59294 3.70699 3.82467 3.94607 4.07134 4.20057 4.33391 4.47149 4.61343 4.75987 4.91097 5.06686 5.2277 5.39364 5.56486 5.7415 5.92376 6.1118 6.30581 
];
err = [
-2.10498e-12 -5.77316e-15 4.9849e-13 -9.23261e-13 -6.94689e-12 -3.55938e-13 -2.13052e-12 -7.36744e-13 -5.24025e-14 6.01741e-13 -5.68212e-13 -2.88547e-12 4.33875e-13 1.29674e-12 5.2478e-12 -3.95906e-13 1.95066e-12 7.17648e-13 -2.80731e-12 1.26836e-11 5.84421e-13 1.20348e-13 -5.8451e-12 3.3662e-13 5.5258e-12 -2.5091e-13 9.30811e-13 -3.64331e-12 4.92806e-12 -8.26006e-14 -9.2637e-13 -3.33067e-14 2.27729e-12 
7.40878e-06 3.9904e-06 1.93101e-06 4.65235e-07 -7.0099e-07 -1.69842e-06 -2.59351e-06 -3.4242e-06 -4.21434e-06 -4.98026e-06 -5.73401e-06 -6.48511e-06 -7.24153e-06 -8.01036e-06 -8.7982e-06 -9.61146e-06 -1.04566e-05 -1.13403e-05 -1.22699e-05 -1.32532e-05 -1.42994e-05 -1.5419e-05 -1.6625e-05 -1.79333e-05 -1.9365e-05 -2.09485e-05 -2.27246e-05 -2.4755e-05 -2.71403e-05 -3.00589e-05 -3.38648e-05 -3.93562e-05 -4.86128e-05 
1.13348e-05 6.80382e-06 3.45615e-06 8.24645e-07 -1.3709e-06 -3.29294e-06 -5.03867e-06 -6.66943e-06 -8.22641e-06 -9.73902e-06 -1.12296e-05 -1.27161e-05 -1.4214e-05 -1.57369e-05 -1.72978e-05 -1.89092e-05 -2.05838e-05 -2.23348e-05 -2.41763e-05 -2.61241e-05 -2.81957e-05 -3.04117e-05 -3.27968e-05 -3.53814e-05 -3.82048e-05 -4.13193e-05 -4.47975e-05 -4.87452e-05 -5.3324e-05 -5.87941e-05 -6.55937e-05 -7.44824e-05 -8.67286e-05 
1.36879e-05 8.63389e-06 4.47145e-06 9.60981e-07 -2.09468e-06 -4.83718e-06 -7.36498e-06 -9.74722e-06 -1.2034e-05 -1.4263e-05 -1.64643e-05 -1.86625e-05 -2.08794e-05 -2.31346e-05 -2.54467e-05 -2.7834e-05 -3.03149e-05 -3.29089e-05 -3.56365e-05 -3.85202e-05 -4.15856e-05 -4.48618e-05 -4.83835e-05 -5.2193e-05 -5.63432e-05 -6.09029e-05 -6.5964e-05 -7.16535e-05 -7.81516e-05 -8.57199e-05 -9.47386e-05 -0.00010574 -0.000119375 
1.51889e-05 9.79019e-06 5.05951e-06 8.74387e-07 -2.8924e-06 -6.3493e-06 -9.5822e-06 -1.26578e-05 -1.56281e-05 -1.85351e-05 -2.14134e-05 -2.42926e-05 -2.71994e-05 -3.01584e-05 -3.31934e-05 -3.63277e-05 -3.95851e-05 -4.29903e-05 -4.65699e-05 -5.03525e-05 -5.43702e-05 -5.86594e-05 -6.32626e-05 -6.82306e-05 -7.36251e-05 -7.9524e-05 -8.60264e-05 -9.32622e-05 -0.000101403 -0.000110673 -0.000121361 -0.00013381 -0.000148348 
1.61917e-05 1.05137e-05 5.3448e-06 6.19964e-07 -3.74154e-06 -7.81875e-06 -1.16816e-05 -1.53896e-05 -1.89928e-05 -2.25339e-05 -2.60497e-05 -2.95733e-05 -3.31352e-05 -3.67639e-05 -4.04875e-05 -4.43338e-05 -4.83312e-05 -5.25095e-05 -5.68999e-05 -6.15367e-05 -6.64571e-05 -7.17033e-05 -7.73235e-05 -8.33735e-05 -8.992e-05 -9.70432e-05 -0.000104842 -0.000113436 -0.000122976 -0.000133643 -0.000145642 -0.000159188 -0.000174455 
1.69091e-05 1.09805e-05 5.44631e-06 2.70777e-07 -4.59789e-06 -9.21664e-06 -1.3641e-05 -1.7922e-05 -2.21058e-05 -2.62338e-05 -3.0344e-05 -3.44711e-05 -3.86483e-05 -4.29075e-05 -4.72801e-05 -5.1798e-05 -5.64935e-05 -6.14004e-05 -6.65546e-05 -7.19943e-05 -7.77614e-05 -8.39021e-05 -9.04681e-05 -9.75182e-05 -0.00010512 -0.000113353 -0.000122309 -0.000132096 -0.000142838 -0.000154674 -0.000167751 -0.000182201 -0.00019812 
1.74864e-05 1.13215e-05 5.46615e-06 -9.94328e-08 -5.40925e-06 -1.05047e-05 -1.54297e-05 -2.02276e-05 -2.49402e-05 -2.9607e-05 -3.42655e-05 -3.89518e-05 -4.37008e-05 -4.85469e-05 -5.35245e-05 -5.86686e-05 -6.40152e-05 -6.96015e-05 -7.54669e-05 -8.16533e-05 -8.82059e-05 -9.51738e-05 -0.000102611 -0.000110577 -0.000119139 -0.000128372 -0.00013836 -0.000149195 -0.000160981 -0.000173822 -0.00018782 -0.000203062 -0.000219595 
1.80302e-05 1.16366e-05 5.48901e-06 -4.23336e-07 -6.12332e-06 -1.16417e-05 -1.70136e-05 -2.22763e-05 -2.74673e-05 -3.2624e-05 -3.77834e-05 -4.29819e-05 -4.82559e-05 -5.36418e-05 -5.91764e-05 -6.48974e-05 -7.08437e-05 -7.70555e-05 -8.35754e-05 -9.04481e-05 -9.77213e-05 -0.000105446 -0.000113678 -0.000122476 -0.000131905 -0.000142035 -0.000152942 -0.000164706 -0.000177409 -0.000191131 -0.000205945 -0.000221905 -0.000239035 
1.86213e-05 1.20034e-05 5.5839e-06 -6.42588e-07 -6.69192e-06 -1.25877e-05 -1.83588e-05 -2.40374e-05 -2.9658e-05 -3.5256e-05 -4.08676e-05 -4.65295e-05 -5.22792e-05 -5.81547e-05 -6.41949e-05 -7.04397e-05 -7.69306e-05 -8.37106e-05 -9.08246e-05 -9.83198e-05 -0.000106246 -0.000114655 -0.000123604 -0.000133151 -0.000143358 -0.000154291 -0.000166017 -0.000178606 -0.000192124 -0.000206634 -0.000222187 -0.000238818 -0.000256534 
1.93217e-05 1.24821e-05 5.80604e-06 -7.08604e-07 -7.07322e-06 -1.33066e-05 -1.94334e-05 -2.54823e-05 -3.14851e-05 -3.74758e-05 -4.34902e-05 -4.95652e-05 -5.57391e-05 -6.20514e-05 -6.85427e-05 -7.52552e-05 -8.22325e-05 -8.95199e-05 -9.71646e-05 -0.000105216 -0.000113725 -0.000122746 -0.000132334 -0.000142548 -0.000153449 -0.000165096 -0.000177552 -0.000190877 -0.000205126 -0.00022035 -0.000236584 -0.000253851 -0.00027215 
2.01782e-05 1.31184e-05 6.19821e-06 -5.82706e-07 -7.23293e-06 -1.37683e-05 -2.02104e-05 -2.65857e-05 -3.29244e-05 -3.92596e-05 -4.56266e-05 -5.20629e-05 -5.86076e-05 -6.53016e-05 -7.21872e-05 -7.93084e-05 -8.6711e-05 -9.44423e-05 -0.000102552 -0.00011109 -0.000120111 -0.000129668 -0.000139819 -0.000150621 -0.000162133 -0.000174412 -0.000187516 -0.000201499 -0.000216408 -0.000232284 -0.000249154 -0.000267032 -0.000285912 
2.1224e-05 1.39453e-05 6.79165e-06 -2.36113e-07 -7.14501e-06 -1.3949e-05 -2.06682e-05 -2.73277e-05 -3.39566e-05 -4.05876e-05 -4.72564e-05 -5.40009e-05 -6.08613e-05 -6.78799e-05 -7.51005e-05 -8.25691e-05 -9.03332e-05 -9.84425e-05 -0.000106948 -0.000115903 -0.000125362 -0.000135381 -0.000146017 -0.000157328 -0.000169372 -0.000182205 -0.000195882 -0.000210451 -0.000225956 -0.000242431 -0.000259899 -0.000278368 -0.000297828 
2.24805e-05 1.49838e-05 7.60659e-06 3.50037e-07 -6.79213e-06 -1.38331e-05 -2.07922e-05 -2.7694e-05 -3.45675e-05 -4.14456e-05 -4.83644e-05 -5.53628e-05 -6.24822e-05 -6.97661e-05 -7.72604e-05 -8.50126e-05 -9.30724e-05 -0.000101491 -0.000110322 -0.000119621 -0.000129443 -0.000139847 -0.000150891 -0.000162633 -0.000175131 -0.000188442 -0.000202619 -0.000217708 -0.00023375 -0.000250778 -0.00026881 -0.000287852 -0.000307893 
2.39573e-05 1.62438e-05 8.65248e-06 1.18459e-06 -6.16614e-06 -1.34129e-05 -2.05751e-05 -2.76775e-05 -3.47497e-05 -4.18253e-05 -4.89413e-05 -5.61379e-05 -6.34578e-05 -7.09463e-05 -7.86507e-05 -8.66207e-05 -9.49078e-05 -0.000103566 -0.00011265 -0.000122217 -0.000132326 -0.000143036 -0.000154409 -0.000166503 -0.000179379 -0.000193093 -0.000207698 -0.000223243 -0.000239768 -0.000257303 -0.000275867 -0.000295466 -0.000316089 
2.56529e-05 1.77237e-05 9.92792e-06 2.26618e-06 -5.26835e-06 -1.26896e-05 -2.00177e-05 -2.72785e-05 -3.45027e-05 -4.17252e-05 -4.89844e-05 -5.6322e-05 -6.37824e-05 -7.14126e-05 -7.92619e-05 -8.73817e-05 -9.58259e-05 -0.00010465 -0.000113912 -0.000123671 -0.000133987 -0.000144925 -0.000156545 -0.000168912 -0.000182086 -0.000196127 -0.000211091 -0.000227028 -0.000243979 -0.000261977 -0.000281043 -0.000301183 -0.000322386 
2.75539e-05 1.94108e-05 1.14205e-05 3.58293e-06 -4.10999e-06 -1.16736e-05 -1.91296e-05 -2.65055e-05 -3.38338e-05 -4.11513e-05 -4.84981e-05 -5.5918e-05 -6.34572e-05 -7.11645e-05 -7.90914e-05 -8.72913e-05 -9.58199e-05 -0.000104735 -0.000114098 -0.000123969 -0.000134412 -0.000145494 -0.00015728 -0.000169836 -0.000183228 -0.000197519 -0.000212768 -0.000229031 -0.000246352 -0.000264768 -0.000284303 -0.000304966 -0.000326749 
2.96354e-05 2.12804e-05 1.31065e-05 5.11213e-06 -2.71256e-06 -1.0385e-05 -1.79293e-05 -2.53755e-05 -3.27584e-05 -4.01172e-05 -4.74945e-05 -5.49362e-05 -6.24907e-05 -7.02089e-05 -7.81443e-05 -8.63524e-05 -9.48912e-05 -0.000103821 -0.000113204 -0.000123105 -0.000133592 -0.000144732 -0.000156597 -0.000169257 -0.000182782 -0.000197241 -0.0002127 -0.000229219 -0.00024685 -0.000265635 -0.000285604 -0.000306771 -0.000329132 
3.186e-05 2.32959e-05 1.49503e-05 6.81974e-06 -1.10826e-06 -8.85405e-06 -1.6445e-05 -2.39143e-05 -3.13001e-05 -3.86446e-05 -4.59933e-05 -5.33946e-05 -6.08992e-05 -6.85604e-05 -7.64336e-05 -8.45765e-05 -9.3049e-05 -0.000101914 -0.000111236 -0.000121083 -0.000131525 -0.000142636 -0.000154489 -0.000167162 -0.000180731 -0.000195272 -0.000210858 -0.000227558 -0.000245433 -0.000264534 -0.000284898 -0.000306547 -0.000329482 
3.41774e-05 2.54079e-05 1.6904e-05 8.65987e-06 6.59599e-07 -7.12121e-06 -1.47142e-05 -2.21568e-05 -2.94913e-05 -3.67636e-05 -4.40225e-05 -5.13192e-05 -5.87072e-05 -6.62419e-05 -7.39807e-05 -8.19832e-05 -9.03116e-05 -9.90304e-05 -0.000108207 -0.000117913 -0.000128221 -0.000139208 -0.000150956 -0.000163545 -0.000177062 -0.00019159 -0.000207214 -0.000224012 -0.000242058 -0.000261414 -0.000282129 -0.000304233 -0.000327735 
3.65234e-05 2.75528e-05 1.89063e-05 1.05742e-05 2.53616e-06 -5.23761e-06 -1.27844e-05 -2.0147e-05 -2.73729e-05 -3.45124e-05 -4.1618e-05 -4.87442e-05 -5.59472e-05 -6.32845e-05 -7.08154e-05 -7.86014e-05 -8.67062e-05 -9.51963e-05 -0.000104142 -0.000113615 -0.000123695 -0.000134463 -0.000146003 -0.000158407 -0.000171768 -0.000186181 -0.000201742 -0.000218545 -0.000236678 -0.000256219 -0.000277231 -0.000299758 -0.000323818 
3.88182e-05 2.96526e-05 2.08817e-05 1.24913e-05 4.45461e-06 -3.26518e-06 -1.07127e-05 -1.79378e-05 -2.49941e-05 -3.1937e-05 -3.88235e-05 -4.57115e-05 -5.26598e-05 -5.97278e-05 -6.69766e-05 -7.4469e-05 -8.22699e-05 -9.04475e-05 -9.90732e-05 -0.000108223 -0.000117977 -0.000128423 -0.000139651 -0.000151759 -0.00016485 -0.000179034 -0.00019442 -0.00021112 -0.000229242 -0.000248884 -0.00027013 -0.000293039 -0.000317644 
4.09655e-05 3.16124e-05 2.27392e-05 1.43255e-05 6.33583e-06 -1.27652e-06 -8.5657e-06 -1.55904e-05 -2.24116e-05 -2.9091e-05 -3.56903e-05 -4.22707e-05 -4.88934e-05 -5.56199e-05 -6.25121e-05 -6.96337e-05 -7.70503e-05 -8.48307e-05 -9.30478e-05 -0.000101779 -0.000111108 -0.000121125 -0.000131927 -0.00014362 -0.000156319 -0.000170145 -0.000185227 -0.000201699 -0.000219693 -0.000239334 -0.000260733 -0.000283975 -0.000309107 
4.28492e-05 3.33184e-05 2.43708e-05 1.59767e-05 8.08817e-06 6.45349e-07 -6.41866e-06 -1.31736e-05 -1.96895e-05 -2.60347e-05 -3.22761e-05 -3.84782e-05 -4.47043e-05 -5.1017e-05 -5.74786e-05 -6.41528e-05 -7.11052e-05 -7.84043e-05 -8.61232e-05 -9.43404e-05 -0.000103141 -0.000112618 -0.000122875 -0.000134026 -0.000146195 -0.00015952 -0.000174151 -0.000190247 -0.000207971 -0.000227485 -0.000248935 -0.000272441 -0.000298077 
4.433e-05 3.46348e-05 2.56488e-05 1.73283e-05 9.60754e-06 2.40789e-06 -4.35423e-06 -1.07623e-05 -1.68968e-05 -2.28337e-05 -2.86445e-05 -3.4397e-05 -4.01556e-05 -4.59833e-05 -5.19419e-05 -5.80939e-05 -6.45038e-05 -7.12388e-05 -7.8371e-05 -8.59783e-05 -9.41464e-05 -0.000102971 -0.000112558 -0.000123028 -0.000134517 -0.00014718 -0.000161188 -0.00017673 -0.000194009 -0.000213233 -0.000234602 -0.000258283 -0.00028439 
4.52401e-05 3.53989e-05 2.64233e-05 1.82474e-05 1.07781e-05 3.91073e-06 -2.46035e-06 -8.43536e-06 -1.41064e-05 -1.95571e-05 -2.48635e-05 -3.0095e-05 -3.53167e-05 -4.05903e-05 -4.5976e-05 -5.15342e-05 -5.73264e-05 -6.34175e-05 -6.98768e-05 -7.67801e-05 -8.42117e-05 -9.22668e-05 -0.000101054 -0.000110698 -0.000121345 -0.000133163 -0.000146347 -0.000161122 -0.000177737 -0.000196461 -0.000217568 -0.000241299 -0.000267828 
4.53736e-05 3.54135e-05 2.65179e-05 1.85832e-05 1.14742e-05 5.04878e-06 -8.26879e-07 -6.27237e-06 -1.1392e-05 -1.6276e-05 -2.10035e-05 -2.56443e-05 -3.02621e-05 -3.49162e-05 -3.96636e-05 -4.45605e-05 -4.96648e-05 -5.50366e-05 -6.07411e-05 -6.68498e-05 -7.34434e-05 -8.06141e-05 -8.84693e-05 -9.71355e-05 -0.000106763 -0.000117534 -0.000129663 -0.000143412 -0.000159084 -0.00017703 -0.000197622 -0.00022122 -0.000248101 
4.44707e-05 3.44346e-05 2.57249e-05 1.81693e-05 1.15648e-05 5.71771e-06 4.59637e-07 -4.34943e-06 -8.82445e-06 -1.30601e-05 -1.71358e-05 -2.11194e-05 -2.5071e-05 -2.90454e-05 -3.30946e-05 -3.72695e-05 -4.16218e-05 -4.62057e-05 -5.108e-05 -5.63098e-05 -6.19691e-05 -6.8144e-05 -7.49366e-05 -8.24695e-05 -9.08933e-05 -0.000100394 -0.000111205 -0.000123617 -0.000137994 -0.000154781 -0.000174493 -0.000197676 -0.000224793 
4.21868e-05 3.2152e-05 2.3801e-05 1.68281e-05 1.09228e-05 5.82307e-06 1.32342e-06 -2.73344e-06 -6.4683e-06 -9.97541e-06 -1.33304e-05 -1.65957e-05 -1.98252e-05 -2.30671e-05 -2.63662e-05 -2.97662e-05 -3.33112e-05 -3.70475e-05 -4.10253e-05 -4.53008e-05 -4.99385e-05 -5.50144e-05 -6.062e-05 -6.68681e-05 -7.39002e-05 -8.18974e-05 -9.10956e-05 -0.000101806 -0.000114442 -0.000129552 -0.000147839 -0.000170141 -0.000197286 
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